Answer:
Step 3; it should be angle m + angle n + angle o = angle o + angle p
Step-by-step explanation:
yes, the sum of the inner angles of the triangle, m, n, o must be 180°.
yes, the sum of supplementary angles (which the pair of inner and outer angles always is) p and o must be 180°.
so, step 3 wants to show that the sum of the 3 inner angles is the same as the sum of the inner/outer angle pair. m + n + o = o + p = 180.
but instead of o the student suddenly wrote n in the right side of the equation. and that is wrong. n + p can't be 180°, as both are inner angles, and that would make the third inner angle 0°, which is not really possible.
so, once n is replaced by o on the right side of the equating in step 3, all is correct again.
and step 4 is correct anyway (it fixed the mistake in step 3 of the original proof by another mistake, coming to the right conclusion just by coincidence), now that step 3 is corrected.
f(n)=3.3n-1 for n ≥ 1
The first five terms of the given function is:
f(1) = 2.3
f(2) = 5.6
f(3) = 8.9
f(4) = 12.2
f(5) = 15.5
Functions: The core concept of mathematics calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h.
The given function is f(n) = 3.3n-1 for n>= 1
The first 5 terms of this function are as follows:
f(1) = 3.3(1)-1
= 3.3-1 = 2.3
f(2) = 3.3(2)-1
= 6.6-1 = 5.6
f(3) = 3.3(3)-1
= 9.9-1
=8.9
f(4) = 3.3(4)-1
= 13.2-1
=12.2
f(5) = 3.3(5)-1
= 16.5-1
= 15.5
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What is the answer to this
|-0.4| ?
Answer:
0.4
Step-by-step explanation:
The absolute value is just the number in the line things but positive.
The absolute value is the distance between a number and zero. The distance between − 0.4 and 0 is 0.4
if |-0.4| is all that is in the question it is 0.4
Graph the image of rectangle CDEF after a translation 4 units left and 9 units up.
The graph of the image of rectangle CDEF after a translation 4 units left and 9 units up is as shown below.
In this question, we have been given the image of rectangle CDEF.
The coordinates of rectangle CDEF are:
C = (-6, -6)D = (-2, -6)E = (-2, 0)F = (-6, 0)
The rectangle CDEF is a translated 4 units left and 9 units up.
When rectangle CDEF is a translated 4 units left then the coordinates of rectangle would be,
C' = (-10, -6)
D' = (-6, -6)
E' = (-6, 0)
F' = (-10, 0)
Then rectangle C'D'E'F' is translated 9 units up then the coordinates of rectangle would be,
C'' = (-10, 3)D'' = (-6, 3)E'' = (-6, 9)F'' = (-10, 9)
The graph of the image of rectangle CDEF after a translation 4 units left and 9 units up is as shown below.
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Since wY, XZ, and AB intersect at 0, WOA ~ BOY and
XOB by the vertical angles theorem. It is given that
AOZ. By the transitive property, BOY XOB.
AOZ
WOA
What is the conclusion reached by this proof?
the conclusion is that angle AOZ and XOB is approximately equal
We are given that WOA and AOZ are equal, and since the AB intersects the line WY and XZ, were from the vertical angles theorem, This hypothesis says that when two straight lines meet, they frame two sets of linear sets with congruent angles, then angle WOZ and XOY equal and XOW and YOZ are too, now since the Ab intersects those angle on pint A and by the transitive property If any angles or segments are congruent to the same angle, at that point they are consistent to each other, according to which it was clear that both the angle BOY and XOB are approximately equal, there vertical angle which are angles WOA and AOZ are equal to them, So it can be concluded that the angle AOZ and XOB are equal too.
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Answer:
b
Step-by-step explanation:
for edmuntum
A particular bacterium population is found to double the in 20 minutes. If a laboratory culture
begins with a population of P=340 of this bacteria and there is no change in the growth rate, how
many bacteria will be present in t=37 minutes?
Hint: Use equation P = Poekt, where k is the relative growth. Round to two decimal places.
The bacteria present at t=37 minutes is found to be 8.40, with no change in growth rate.
What does population growth exponentially mean?When a population's per capita growth rate remains constant, regardless of population size, exponential growth occurs, causing the population to grow exponentially as the population increases.
Given:
P = 340
It has been discovered that a specific bacterial population doubles in 20 minutes.
k = 2/20 = 0.1
t = 37 minutes
We know that,
P = P₀[tex]e^{kt}[/tex]
340 = P₀([tex]e^{0.1*37}[/tex])
340 =P₀(40.44)
P₀ = 8.40
As a result, the bacteria that will be present in t=37 minutes is found to be 8.40 with no change in growth rate.
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Marsha used a graphing calculator to graph an expense and a revenue function for her family’s printing business. The graph looked like the one below.
The break-even points for her graph are given approximately as follows:
C. 15 and 47.
Expense, revenue and break-even pointThe expenses and the revenue are defined as follows:
Expenses: amount spent by the person/company to develop each unit of the product, that is, the cost of the product.Revenue: amount earned by the person/company for each unit of the product sold.The break-even points are the points in which the expenses and the revenue are equal.
In the context of this problem, the functions are given as follows:
Revenue: given by the parabola.Expenses: Given by the line.The break-even point is given by the intersection of the two curves, which happen around x = 15 and x = 47, hence option C is the correct option.
Missing informationThe problem is given by the image at the end of the answer.
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What is the value of (−14)3 when evaluated? −2,744 −196 42 2,744
The value of (-14) 3 when evaluated is -42.
Given,
The expression = (-14) 3
We have to evaluate this and find the value.
Evaluating an expression:
Finding the value of an algebraic expression when a specified integer is used to replace a variable is known as evaluating the expression. When evaluating an expression, we change the variable in the expression to the given number and then use the order of operations to simplify the expression.
That is,
(-14) 3 = -14 × 3 = -42
Therefore, the value of (-14) 3 when evaluated is -42
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Daniel walks at a speed of 4 miles per hour. Daniel leaves his house at 1:00 p.m. and walks toward a playground exactly 2 miles away.
Daniel's mother plans to walk to the playground too. She walks at a speed of 6 miles per hour.
At what time should Daniel's mother leave the house to arrive at the playground at the same time as Daniel?
Daniel's mother should leave the house at 1:10 P.M. to arrive at the playground at the same time as Daniel.
According to the question,
We have the following information:
Speed of Daniel = 4 miles per hour
So, it means that Daniel covers 4 miles in 1 hour.
1 hour = 4 miles or 4 miles = 1 hour
1 mile = 1/4 hour
1/4 hour means (60/4) minutes or in other words 15 minutes.
Now, Daniel will cover 1 mile in 15 minutes.
So, the time taken by Daniel to cover 2 miles = 15*2 minutes
Time taken by Daniel to cover 2 miles = 30 minutes
So, Daniel will reach the playground at 1:30 P.M.
Now, speed of Daniel's mother = 6 miles per hour
So, we have:
6 miles = 1 hour
6 miles = 60 minutes
1 mile = 60/6 min
1 mile = 10 min
So, to cover 2 miles, Daniel's mother will take (2*10) minutes or 20 minutes.
Now, Daniel will reach the playground at 1:30 P.M.
So, Daniel's mother should start from her house at 1:10 P.M.
Hence, Daniel's mother should start at 1:10 P.M.
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Monique built a wooden frame woth dimensions 0.8m by0.5m.how much wood will be left from a 3.4m length of timber
Answer: 0.8 m
Step-by-step explanation:
1. The perimeter P of the wooden frame is equal to:
P=2(0.8+0.5)
P=2(1.3)
P=2.6 m
2. The remaining length of wood is equal to:
3.4-2.6=
0.8 m
41.4 is what percent of 92?
Answer: 45
41.4 is 45 percent of 92
Answer: 45%
Step-by-step explanation:
Solution for 41.4 is what percent of 92:
41.4:92*100 =
(41.4*100):92 =
4140:92 = 45
Now we have: 41.4 is what percent of 92 = 45
Question: 41.4 is what percent of 92?
Percentage solution with steps:
Step 1: We make the assumption that 92 is 100% since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: 100%=92.
Step 4: In the same vein, x%=41.4.
Step 5: This gives us a pair of simple equations:
$100%=92(1).
$x%=41.4(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
100%/x%= 92/41.4
Step 7: Taking the inverse (or reciprocal) of both sides yields
x%/100% = 41.4/92
-> x=45%
Therefore, 41.4 is 45% of 92.
use the english and metric equivalents to the right, along with dimensional analysis, to convert the given measurement to the unit indicated. in. to cm
It should be noted that the conversion of the measurement of 290 inches will be 0.7366 decameter.
How to illustrate the information?
It should be noted that from the information,.it about equivalents dimensional analysis, to convert the given measurement to the unit indicated.
In this case, we want to convert 290 in. to dam.
It should be noted that we have to divide rye length value by 393.7
Therefore, it should be noted that 290 inches will be:
= 290 / 393.7
= 0.7366 decameter.
Therefore, it should be noted that the conversion of the measurement of 290 inches will be 0.7366 decameter.
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How can you rewrite -8 -10 as an addition problem?
Answer:
-8 + (-10)
Hope this help!
Trevon left home and traveled toward the recycling plant. Mike left one hour later traveling 14 mph faster in an effort to catch up to him. After four hours Mike finally caught up. Find Trevon's average speed.
The most appropriate choice for speed will be given by-
Average speed of Trevon is 56 mph
What is speed?
The distance travelled by the body per unit time is called speed of the body.
If d is the distance travelled by the body and t is the time taken, then
speed = [tex]\frac{d}{t}[/tex]
Speed is a scalar quantity as the direction is not taken into account.
Here,
Let the average speed of Trevon be [tex]x[/tex] mph
Average speed of Mike = [tex](x + 14)[/tex] mph
Time for which Trevon driven = [tex](4 + 1)[/tex] h
= [tex]5[/tex] h
Time for which Mike driven = [tex]4[/tex] h
By the problem,
[tex]5 \times x = 4 \times (x+14)[/tex]
[tex]5x = 4x+56[/tex]
[tex]5x-4x=56[/tex]
[tex]x =56[/tex] mph
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The bill amount for Diana's brunch was $35.80. She wanted to leave 18% of the total bill as a tip. How much should the tip
be?
Gabriel bought 12 donuts and fritters from the
bakery. Donuts cost $1.00 and fritters cost
$2.00. Gabriel spent a total of $17.00. How
many donuts (d) and how many fritters (f) did
he buy?
d+f=12
1d + 2f = 17
[?] donuts [?] fritters
Answer:
Gabriel spent $12 in just Donuts. If fritters are $2 a piece, he could buy 2 fritters at max. Perhaps he bought an extra donut to equal $17.
Step-by-step explanation:
Answer:
7 donuts and 5 fritters
Step-by-step explanation:
what expression is equivalent to 1.2y + 4.5 - 3.4y - 6.3
The expression is equivalent to the given expression by combining like terms is -2.2[tex]y[/tex]-1.8 .
What is a expression?An expression is a set of terms combined using the operations +, -, x or ÷
and the variables. Number, symbols and operators are grouped to form an expression . An expression can be simplified by combining like terms.
Given that,
1.2y + 4.5 - 3.4y - 6.3
The terms that has same variables are like terms Combine like terms by adding or subtracting the terms.
-1.2[tex]y[/tex]-3.4[tex]y[/tex]+4.5-6.3
-2.2[tex]y[/tex]-1.8
Hence, The expression is equivalent to the given expression by combining like terms is -2.2[tex]y[/tex]-1.8 .
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Need ASAP!! Please solve the equation and include steps if you're able to :). Best answer with steps gets Branliest
Answer:
I couldn't do the second question but I did the first and third
1. x=125
3. 11.84
Step-by-step explanation:
2x+6x= 1,000 Set up equation
8x=1,000 Add the like terms-so, 2x and 6x
x=1,000/8 Isolate the x by taking the 8 to the other side to divide
x=125
-2.3x-4.2x=-66.3 Equation
-5.6x= -66.3 Add -2.3 and -4.2 because both r negative
x=-66.3/-5.6 isolate x bu dividing
x= 11.84 Rounded answer
Manvita deposits Rs. 5000 in her bank account after two days. She withdraws Rs.
3748 from it. If the amount deposited is a positive integer. How will you represent
the amount withdrawn and also find the balance amount in the account?
If the amount deposited is a positive integer , so the amount withdrawn is represented by -3748 and the balance amount in the Manvita's account is Rs 1252 .
In the question ,
it is given that
Money deposited by Manvita = Rs 5000 .
Money withdrawn by Manvita = Rs 3748 .
Since , amount deposited is a positive integer ,
So, the amount withdrawn will be a negative integer
Balance in Manvita's account = Money deposited + Money Withdrawn
Substituting the values , we get
Balance in Manvita's account = 5000 + (-3748)
= 5000 - 3748
= 1252
Therefore , if the amount deposited is a positive integer , so the amount withdrawn is represented by -3748 and the balance amount in the Manvita's account is Rs 1252 .
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IMAGE ATTACHED Help with this please.
Part of a full number and a means of dividing a number into equal pieces are represented by fractions.The denominator is the total number of parts in the whole, while the numerator is the number of equal portions being counted.
Solve the problem ?
An element of a whole is a fraction.The number is represented mathematically as a quotient, where the numerator and denominator are split.Both are integers in a simple fraction.A fraction appears in the numerator or denominator of a complex fraction.The numerator of a proper fraction is less than the denominator.Richard can finish reading a book in (missing) hours.Need something in those places to determine the precise response, but generally speaking if you simply want to get his unit rate, first convert the data into a fraction:Books per hour equal books per hourThen, to determine his unit rate, divide the top by the bottom (books per 1 hour).For instance:Richard would read one book in an hour if he could finish reading half of a book in that time.It becomes a little more complicated: if he can read 2 1/4 th of a book in an hour, he can read: 2 1/4/ 1/12= 0.5/0.083 = 6.024I'm not sure if you'll be dealing with fractions, decimals, or entire numbers, but if they're fractions, bear in mind that you divide fractions by keeping the first fraction the same, multiplying it, and then flipping the second fraction. 2 1/4/ 1/12= 0.5/0.083 = 6.024To learn more about fraction refer
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3×(9-4)³ - 46×3
A) 1
B) 237
C) 711
D) 987
Answer:
237
Step-by-step explanation:
3×(9-4)³ - 46×3
subtract 4 from 9 to get 5
3x5³-46x3
calculate 5 to the power of 3 and get 125
3x125-46x3
multiply 3 and 125 to get 375.
375-46x3
Multiply 46 and 3 to get 138
375-138
subtract 138 from 375 to get 237.
And there's your answer
You can follow the rule of BODMAS.
BODMAS stands for Bracket, Of, Division, Multiplication, Addition, Subtraction
By following the rule of BODMAS, the solution will be like this:
3×(5)³ - 46×3
= 3×125 - 46×3
= 375 - 138
= 237
I hope my explanation has helped you.
You can do well to declare this answer as the Brainiest Answer.
Thanks so much
please look at the image and answer, Thank you!
with show work. trigonometry
Can someone help with questions 3,4 and 5? THANK YOUUU ^^ I did questions 1 and 2
Answer:
Question 3.
[tex]y = \frac{2}{7} x - 3[/tex]
question 4
[tex]y = - 4x - 1[/tex]
question 5
[tex]y = 5x + 3[/tex]
Step-by-step explanation:
Question 3
1.Write down what is given in equation form
[tex]y = \frac{2}{7} x + c[/tex]
2. Insert the given point to work out c
[tex] - 5 = \frac{2}{7} ( - 7) + c[/tex]
[tex]c = - 3[/tex]
3. answer
[tex]y = \frac{2}{7} x - 3[/tex]
Question 4
1 write what was given in an equation
[tex]y = - 4x + c[/tex]
2. insert given point (-1;3) to work out c
[tex]3 = - 4( - 1) + c[/tex]
[tex]c = - 1[/tex]
3. final answer
[tex]y = - 4x - 1[/tex]
question 5
1.with what was given write it in equation form
[tex]y = 5x + c[/tex]
2. substitute the given point (-2;-7) to work out c
[tex] - 7 = 5( - 2) + c[/tex]
[tex]c = 3[/tex]
3.final answer
[tex]y = 5x + 3[/tex]
In survey, 9 out of 11 doctors recommended a certain medicine. If 88 doctors were surveyed, how many doctors recommended the medicine? please answer this asap
Answer:
72 doctors recommended the medicine
Step-by-step explanation:
9 out of 11 doctors recommended the medicine, making it 9/11 there are 88 doctors in total 9/11 doctors out of 88 doctors recommended the medicineso, this becomes multiplication. 9/11*88/1 you get 72Aaron has two summer jobs. During the week he works in the grocery store, and on the weekend he works at a nursery. He gets paid $20 per hour to work at the grocery store and $21 per hour to work at the nursery. How much does he earn if he works 13 hours at the grocery store and 9 hours at the nursery? How much does he earn if he works gg hours at the grocery store and n hours at the nursery?
Total pay, 13 hours at the grocery store and 9 hours at the nursery:
Total pay, g hours at the grocery store and n hours at the nursery:
If he gets paid $20 per hour to work at the grocery store and $2 per hour to work at nursery,
Part a
He will earn $449 if he works 13 hours at the grocery store and 9 hours at the nursery
Part b
He will earn 20g + 21n, if he works g hours at the grocery store and n hours at the nursery
The payment at the grocery store per hour = $20
The payment at the nursery per hour = $21
Part a
Number of hours he works at the grocery store = 13 hours
Number of hours he works at nursery = 9 hours
Total pay = 13×20 + 9×21
= 260 + 189
= $449
Part b
Number of hours he works at the grocery store = g hours
Number of hours he works at nursery = n hours
Total pay = 20g + 21n
Hence, If he gets paid $20 per hour to work at the grocery store and $2 per hour to work at nursery,
Part a
He will earn $449 if he works 13 hours at the grocery store and 9 hours at the nursery
Part b
He will earn 20g + 21n, if he works g hours at the grocery store and n hours at the nursery
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Simplify The answer please
Answer:
-18/35
Step-by-step explanation:
How do u solve this?
Answer:
See below
Step-by-step explanation:
the two angles add to a total of 360 °
5x - 40 + `150 = 360
x = 50°
satisfy this equation x + |y| = y + |x|
IF -10 ≤ x ≤ 10 and -10 ≤ y ≤ 10
The equation x + |y| = y + |x| that contains the absolute values of x and y, is satisfied when the values of x and y are given by the iniquities;
0 ≤ x ≤ 10 and 0 ≤ y ≤ 10What is an absolute value?The absolute value or modulus of a real number gives its non negative value irrespective of the sign (positive or negative) of the number.
The given equation is presented as follows;
x + |y| = y + |x|
The possible values of x and y are;
-10 ≤ x ≤ 10 and -10 ≤ y ≤ 10
Collecting the absolute values of the equation on one side gives;
|y| - |x| = y - x, which gives;
+y - +x = y - x
The equation is therefore satisfied when both x and y are larger than zero.
Therefore, x + |y| = y + |x|, gives;
0 ≤ x ≤ 10, and 0 ≤ y ≤ 10
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asquarematrixiscalledapermutationmatrixifitcon- tains a 1 exactly once in each row and in each column, with all other entries being 0. examples are in and are permutation matrices invertible? if so, is the inverse a permutation matrix as well?
Examples of permutation matrices are the identity matrices with a permutation in rows. Permutation matrices are invertible and the inverse is a permutation matrix as well.
A permutation matrix is a square matrix which contains exactly one 1 in each row and all other entries 0.
So a permutation matrix can be obtained by rearranging the rows or columns of an identity matrix. Identity matrix is also a permutation matrix with entry 1 exactly once in each row and all other entries 0.
Example of a permutation matrix:
[tex]\left[\begin{array}{ccc}1&0&0\\0&0&1\\0&1&0\end{array}\right][/tex]
A permutation matrix is invertible because an identity matrix is invertible [since det(I) = 1] and a permutation matrix is just got by exchanging rows or columns which does not change its determinant. So the determinant of a permutation matrix ≠ 0 and hence invertible.
The inverse of a permutation matrix is its transpose itself. The transpose is again a permutation matrix.
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a soccer club has 120 members this year, compared to 85 members last year. find the percent increase or decrease
The number of members that the club had last year was 85
The number of members that the club has this year is 120.
The number by which it increased is
120 - 85 = 35
Percentage is expressed in terms of 100. Thus, the percentage increase is
35/85 * 100
= 41.2%
The percentage isncrease is 41.2%